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55521760 = 255789557
BaseRepresentation
bin1101001111001…
…1000111100000
310212110210112111
43103303013200
5103203144020
65302005104
71242633010
oct323630740
9125423474
1055521760
1129382358
1216716794
13b66c818
147533c40
154d1ad5a
hex34f31e0

55521760 has 96 divisors (see below), whose sum is σ = 151865280. Its totient is φ = 18788352.

The previous prime is 55521751. The next prime is 55521811. The reversal of 55521760 is 6712555.

55521760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99402 + ... + 99958.

It is an arithmetic number, because the mean of its divisors is an integer number (1581930).

Almost surely, 255521760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55521760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75932640).

55521760 is an abundant number, since it is smaller than the sum of its proper divisors (96343520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55521760 is a wasteful number, since it uses less digits than its factorization.

55521760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 31.

The square root of 55521760 is about 7451.2925053309. The cubic root of 55521760 is about 381.4940259825.

The spelling of 55521760 in words is "fifty-five million, five hundred twenty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 89 112 140 160 178 224 280 356 445 557 560 623 712 890 1114 1120 1246 1424 1780 2228 2492 2785 2848 3115 3560 3899 4456 4984 5570 6230 7120 7798 8912 9968 11140 12460 14240 15596 17824 19495 19936 22280 24920 31192 38990 44560 49573 49840 62384 77980 89120 99146 99680 124768 155960 198292 247865 311920 347011 396584 495730 623840 694022 793168 991460 1388044 1586336 1735055 1982920 2776088 3470110 3965840 5552176 6940220 7931680 11104352 13880440 27760880 55521760